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Translations and Reflections Extra Practice
In addition to these questions, please see the following pages in the textbook:
Pages 288-289: Questions 3, 4, 5, 6, 11 (Plotting and Comparing Points)
Pages 293-295: Questions 1, 2, 3, 5, 6 (Translations and Reflections)
Page 299: Questions 2, 3 (Rotations)
Page 301: All
Extra Practice 5 Lesson 8.5: Graphing on a Coordinate Grid
1. Write the coordinates of each point from A to H.
Name the quadrant or axis that contains the point.
A _______________
B _______________
C _______________
D _______________
E _______________
F _______________
G _______________
H _______________
2. What can be said about the coordinates of
point P in each case?
a) P is in Quadrant 2.
b) P lies on the x-axis.
c) P is in Quadrant 4.
d) P lies on the y-axis.
e) P is at the origin.
f) P is in Quadrant
3. a) Plot these points on a coordinate grid: K(–
3, 4), A(4, 4), T(3, 2), E(–2, 2).
b) Join the points. Which shape is formed?
4. a) Plot these points on a coordinate grid:
A(3, 5), B(–4, 5), C(–4, 2).
b) Find the coordinates of point D that
forms rectangle ABCD.
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Extra Practice 6 Lesson 8.6: Graphing
Translations and Reflections
1. Trapezoid ABCD has vertices A(–1, –1), B(1,
–1), C(1, 3), and D(–1, 1).
After a translation, the image of ABCD is A’(4,
–3), B’(6, –3), C’(6, 1), D’(4, –1).
a) Draw ABCD and A’B’C’D’ on a grid.
b) Describe the translation.
2. Identify each transformation.
a)
b)
3. Plot these points on a coordinate grid: A(1, 6),
B(2, 4), C(4, 4), O(0, 0)
a) Draw the image of quadrilateral ABCO after a
translation 2 units left and 3 units up.
b) Draw its image after a reflection in the x-axis.
c) Draw its image after a reflection in the y-axis.
d) Draw its image after a reflection in the line
through (0, 0) and (10, 10).
4. Plot these points on a coordinate grid: A(2, 1),
B(–1, 2), C(1, 5).
a) Translate each point 3 units left and 4 units
down to get image points A’, B’, C’.
b) Write the coordinates of each point and its
translation image. What pattern do you see in
the coordinates?
5. Plot the points in question 4.
a) Reflect each point in the x-axis to get image
points A’, B’, C’.
b) Write the coordinates of each point and its reflection image. What pattern do you see in the
coordinates?
6. Plot the points in question 4.
a) Reflect each point in the y-axis to get image points A’, B’, C’.
b) Write the coordinates of each point and its reflection image. What pattern do you see in the
coordinates?
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Extra Practice 7 Lesson 8.7: Graphing Rotations
1. a) Which clockwise rotation is the same as a 90° counterclockwise rotation?
b) Which clockwise rotation is the same as a 270° counterclockwise rotation?
c) Which clockwise rotation is the same as a 60° counterclockwise rotation?
d) Why do we do not need to include “clockwise” and “counterclockwise” when
describing a 180° rotation?
2. In each diagram, DF’G’H’ is the image of DFGH after a rotation about the origin.
Identify each rotation.
a)
b)
c)
3. Plot these points on a coordinate grid: A(2, 1),
B(–1, 2), C(1, 5)
a) Rotate each point +90° about the origin to
get image points A’, B’, C’.
b) Write the coordinates of each point and its
rotation image.
What patterns do you see in the
coordinates?
4. Plot the points in question 3.
a) Rotate each point +180° about the origin to
get image points A’, B’, C’.
b) Write the coordinates of each point and its
rotation image. What patterns do you see in
the coordinates?
5. Plot the points in question 3.
a) Rotate each point +270° about the origin to
get image points A’, B’, C’.
b) Write the coordinates of each point and its
rotation image. What patterns do you see in
the coordinates?
6. Plot the points M(–2, 4), N(–5, 0), P(–4, –2), and Q(–1, –1) on a coordinate grid. Join the
points to form quadrilateral MNPQ.
a) Reflect the quadrilateral in the x-axis. Then reflect the image in the y-axis.
b) Which rotation is equivalent to a reflection in the x-axis followed by a reflection in the y-axis?
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This page may have been modified from its original. Copyright © 2007 Pearson Education Canada
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The right to reproduce this page is restricted to purchasing schools.
This page may have been modified from its original. Copyright © 2007 Pearson Education Canada